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Finding the Third Proportional to 745,442 and 1,637,324

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Solution

The third proportional to 745,442 and 1,637,324 is: 3,596,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,442 : 1,637,324 = 1,637,324 : x
  2. Step 2: Convert to fraction form
    745,442/1,637,324 = 1,637,324/x
  3. Step 3: Cross multiply
    745,442x = 1,637,324 × 1,637,324
  4. Step 4: Simplify right side
    745,442x = 2,680,829,880,976
  5. Step 5: Solve for x
    x = 2,680,829,880,976/745,442
  6. Step 6: Final answer
    x = 3,596,295.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.